724080000 has 320 divisors, whose sum is σ = 2753118720. Its totient is φ = 165120000.

The previous prime is 724079969. The next prime is 724080013. The reversal of 724080000 is 80427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679785 + ... + 1680215.

It is an arithmetic number, because the mean of its divisors is an integer number (8603496).

Almost surely, 2^724080000 is an apocalyptic number.

724080000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376559360).

724080000 is an abundant number, since it is smaller than the sum of its proper divisors (2029038720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

724080000 is an equidigital number, since it uses as much as digits as its factorization.

724080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 724080000 is about 26908.7346413762. The cubic root of 724080000 is about 897.9707366254.

The spelling of 724080000 in words is "seven hundred twenty-four million, eighty thousand".